Results 1 to 10 of about 157 (103)
International Journal of Analysis and Applications, 2023 In the present research paper, an investigation is undertaken of Steinhaus type theorems for Nörlund-(M, λn) and Nörlund-Euler(M, λn) method of summability in K, a complete non-trivially valued Non-Archimedean field.
E. Muthu Meena Lakshmanan, K. Suja
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Forum of Mathematics, Pi, 2022 We present a framework for tame geometry on Henselian valued fields, which we call Hensel minimality. In the spirit of o-minimality, which is key to real geometry and several diophantine applications, we develop geometric results and applications for ...
Raf Cluckers +2 more
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Intermediate values and inverse functions on non‐Archimedean fields [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Continuity or even differentiability of a function on a closed interval of a non‐Archimedean field are not sufficient for the function to assume all the intermediate values, a maximum, a minimum, or a unique primitive function on the interval. These problems are due to the total disconnectedness of the field in the order topology.
Khodr Shamseddine, Martin Berz
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A Real-Valued Measure on non-Archimedean Field Extensions of $$\mathbb{R}$$ [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2022 We introduce a real-valued measure ${m_L}$ on non-Archimedean ordered fields $(\mathbb{F},
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Spectral integration and spectral theory for non-Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2002 Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields.
S. Ludkovsky, B. Diarra
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Engel Series and Cohen-Egyptian Fraction Expansions
International Journal of Mathematics and Mathematical Sciences, 2009 Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed.
Vichian Laohakosol +3 more
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Complemented subspaces of p-adic second dual Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1995 Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
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Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields
, 2001 Stochastic processes on topological vector spaces over non-Archimedean fields and with transition measures having values in non-Archimedean fields are defined and investigated. For this the non-Archimedean analog of the Kolmogorov theorem is proved. The analogos of Markov and Poisson processes are studied.
Khrennikov, Andrei, Ludkovsky, Sergei
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On the intermediate value theorem over a non-Archimedean field
Le Matematiche, 2013 The paper investigates general properties of the power series over a non- Archimedean ordered field, extending to the set of algebraic power series the intermediate value theorem and Rolle's theorem and proving that an algebraic series attains its maximum and its minimum in every closed interval. The paper also investigates a few properties concerning
Corgnier L. +2 more
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On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank [PDF]
Proyecciones (Antofagasta), 2017 Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).
OCHSENIUS, HERMINIA, SCHIKHOF, W. H.
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